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Finding the Third Proportional to 406,910 and 883,872

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Solution

The third proportional to 406,910 and 883,872 is: 1,919,907.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,910 : 883,872 = 883,872 : x
  2. Step 2: Convert to fraction form
    406,910/883,872 = 883,872/x
  3. Step 3: Cross multiply
    406,910x = 883,872 × 883,872
  4. Step 4: Simplify right side
    406,910x = 781,229,712,384
  5. Step 5: Solve for x
    x = 781,229,712,384/406,910
  6. Step 6: Final answer
    x = 1,919,907.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.